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A267957 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. 5

%I

%S 1,2,2,4,14,4,11,96,96,11,29,726,1625,726,29,77,5046,30145,30145,5046,

%T 77,201,35574,493087,1414023,493087,35574,201,525,242406,8239879,

%U 56103165,56103165,8239879,242406,525,1361,1653750,130870815,2290723921

%N T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

%C Table starts

%C ....1........2............4..............11...............29................77

%C ....2.......14...........96.............726.............5046.............35574

%C ....4.......96.........1625...........30145...........493087...........8239879

%C ...11......726........30145.........1414023.........56103165........2290723921

%C ...29.....5046.......493087........56103165.......5180448783......495859988413

%C ...77....35574......8239879......2290723921.....495859988413...112089546220707

%C ..201...242406....130870815.....87407239371...43614373673363.22894037516177941

%C ..525..1653750...2082478515...3343976341229.3849196727799125

%C .1361.11113926..32398824901.124140022659137

%C .3525.74553750.502697528961

%H R. H. Hardin, <a href="/A267957/b267957.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=1: a(n) = 3*a(n-1) +2*a(n-2) -8*a(n-3) for n>5

%F k=2: [order 6] for n>8

%F k=3: [order 56]

%e Some solutions for n=3 k=4

%e ..0..1..0..0....0..1..0..0....0..0..1..0....0..1..0..1....0..1..0..0

%e ..0..1..1..2....2..2..1..2....1..2..1..1....1..0..1..1....2..2..1..0

%e ..1..0..0..1....2..1..0..0....0..0..2..1....1..2..2..0....1..0..0..1

%Y Column 1 is A267912.

%Y Column 2 is A267913.

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Jan 22 2016

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Last modified September 17 16:32 EDT 2021. Contains 347487 sequences. (Running on oeis4.)